Step by step:
this creates variable named sum and assigns it value of 0:
int sum = 0;
this does the following:
it assigns to variable 'sum' the result of sum + number % 10 (where a number is an argument passed to the method)
sum = sum + number%10;
number % 10 is in your example a remainder of 456 / 10, so in 456, you can pack number 10 exactly 45 times, whatever is left that is less then 10 is your result (remainder), in this case 6.
see http://www.cafeaulait.org/course/week2/15.html
next we divide current number by 10:
number = number / 10;
so 456 / 10 = 45.6
and as the type of variable is int - it is actually 45 (as int always rounds down the remainder) - see Int division: Why is the result of 1/3 == 0?
then it is being repeated 2 times until all 3 digits are summed up.
Notice, that your method will only work for 3 digit numbers. That's not that good.
You can easily make your method to work with any digits length int number passed.
Hint: use loops!
As you can see, you're repeating the same piece of code 3 times.
You could place it inside a loop and make it execute as many times as there are digits in your number.
something along these lines, but you need to figure out when to stop the while loop!
int sum = 0;
while (?WHEN TO EXIT?) {
sum = sum + number % 10;
number = number / 10;
}
Think about when you can exit loop (when, in example, maybe this number variable that you divide by 10 each iteration can tell you that all digits have been processed?)